What is 27 minus 3.54?
- A. 24.46
- B. 23.46
- C. 33.3
- D. 24.54
Correct Answer: B
Rationale: To solve this subtraction problem, you need to subtract 3.54 from 27. When subtracting decimals, start by aligning the decimal points. Subtract the whole number part first (27 - 3 = 24) and then subtract the decimal part (0.54). This results in 23.46. Therefore, the correct answer is 23.46 (choice B). Remember, when subtracting decimals, align the decimal points and carry out the subtraction as if they were whole numbers.
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Convert the decimal to a percent: 0.000026 =
- A. 0.00%
- B. 0.03%
- C. 2.60%
- D. 26%
Correct Answer: A
Rationale: To convert a decimal to a percent, you move the decimal point two places to the right and add a percent sign. In this case, 0.000026 becomes 0.00%. Starting with 0.000026, moving the decimal point two places to the right gives you 0.00. Therefore, the correct answer is A, 0.00%.
What is the result of subtracting 32.21 by 4.68?
- A. 14.53
- B. 27.53
- C. 1.459
- D. 27.53
Correct Answer: B
Rationale: To subtract decimals, align the decimal points and subtract each place value. When subtracting 4.68 from 32.21, you get 27.53. Therefore, the correct answer is option B, 27.53.
How many kilograms are in 0.12 grams?
- A. 120.0 kilograms
- B. 0.0012 kilograms
- C. 0.00012 kilograms
- D. 12.0 kilograms
Correct Answer: C
Rationale: To convert grams to kilograms, we need to divide by 1000 because there are 1000 grams in a kilogram. So, to convert 0.12 grams to kilograms, we divide 0.12 by 1000, which equals 0.00012 kilograms. Therefore, choice C (0.00012 kilograms) is the correct answer.
Choice A (120.0 kilograms) is incorrect as it incorrectly multiplies instead of dividing by 1000. Choice B (0.0012 kilograms) is incorrect as it divides 0.12 by 100 instead of 1000. Choice D (12.0 kilograms) is incorrect as it wrongly drops the zero in the decimal point conversion.
What factor is used to convert pounds to kilograms?
- A. 0.22
- B. 2.2
- C. 22
- D. 220
Correct Answer: B
Rationale: To convert pounds to kilograms, the correct factor is 2.2. This conversion factor is used because 1 pound is approximately equal to 0.454 kilograms. Therefore, to convert from pounds to kilograms, you multiply the weight in pounds by 0.454 to get the weight in kilograms. In this case, the factor is the reciprocal of 0.454, which simplifies to approximately 2.2.
What is the result of adding 2/3 + 4/9?
- A. 8/15
- B. 9/9 = 1
- C. 6/12 = 1/2
- D. 10/9 = 1 & 1/9
Correct Answer: D
Rationale: To add fractions, you need to find a common denominator. In this case, the least common multiple of 3 and 9 is 9. To add 2/3 + 4/9, convert 2/3 to have a denominator of 9 by multiplying the numerator and denominator by 3, which gives you 6/9. Now, you can add 6/9 + 4/9 to get 10/9. However, 10/9 can be simplified to 1 & 1/9, making choice D the correct answer.
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